Geometric approaches to quantum many body problems

该项目旨在利用微分几何和相关领域的成果来研究相互作用的多体量子系统的物理学。该项目预计将在数学物理领域产生新的知识，并在量子信息，凝聚态物理和统计力学中有广泛的应用。重点将放在发展变分方法，以有效模拟量子演化和表征合适的量子态家族的相关结构。

The project aims to utilise results from differential geometry and related areas to investigate the physics of interacting many-body quantum systems. This project expects to generate new knowledge in the area of mathematical physics with broad applications in quantum information, condensed matter physics and statistical mechanics. The key focus will lie on the development of variational methods for the efficient simulation of quantum evolution and the characterisation of suitable quantum state families by their correlation structures.